Lesson 1.3.2: Adding and Subtracting Imaginary Numbers Pages in Text.

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Presentation transcript:

Lesson 1.3.2: Adding and Subtracting Imaginary Numbers Pages in Text

By the end of this lesson, I will be able to answer the following questions… 1. How do find the sum or difference of complex numbers? 2. How do I determine if a complex number is wholly real or wholly imaginary? 3. How can imaginary numbers be used in a simple electric series circuit?

Vocabulary 1. Series Circuit - 2. Wholly Real 3. Wholly Imaginary 4. Holy Moly

Prerequisite Skills with Practice Simplify:

Example one Is wholly real or wholly or does it have a real and an imaginary part? Example two Is wholly real or wholly or does it have a real and an imaginary part?

Example three Is wholly real or wholly or does it have a real and an imaginary part?

A circuit in series is a circuit where the power flows in only one direction and goes through each part of the circuit. A flashlight with two batteries is a series circuit, because the power goes through the batteries to the lightbulb. The impedance (resistance to current) of an element can be represented using the complex number, V + Ii, where V is the element’s voltage and I is the element’s current. If two elements are used in a circuit in series, the total impedance is the sum of the impedance of each element. The following diagram of a circuit contains two elements, 1 and 2, in series. The total impedance of the circuit is the sum of the impedance of elements 1 and 2. Element 1 has a voltage of 25 volts and a current of 1 milliampere. Element 2 has a voltage of 20 volts and a current of 1.5 milliamperes. What is the total impedance of the circuit?